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A particle moves in the x-y the accoding...

A particle moves in the `x-y` the accoding to the equation, `r = (hati + 2hatj) A cos omegat`. The motion of the particle is

A

(a)on a straight line

B

(b)on an ellipse

C

(c)periodic

D

(d)simple harmonic

Text Solution

Verified by Experts

The correct Answer is:
C, D
`vecr = xhati + yhati = (A cosomegat)hati + (2A cos omegat)hatj`
`rArr x = A cos omegat, y = 2 A cos omegat y = 2x`
`rArr` The motion of particle is on a stright line, periodic and simple harmonic
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